@article{AIHPB_2005__41_5_929_0, author = {Sato, Ken-Iti and Watanabe, Toshiro}, title = {Last exit times for transient semistable processes}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {929--951}, publisher = {Elsevier}, volume = {41}, number = {5}, year = {2005}, doi = {10.1016/j.anihpb.2004.09.003}, mrnumber = {2165258}, zbl = {1086.60028}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2004.09.003/} }
TY - JOUR AU - Sato, Ken-Iti AU - Watanabe, Toshiro TI - Last exit times for transient semistable processes JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 929 EP - 951 VL - 41 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2004.09.003/ DO - 10.1016/j.anihpb.2004.09.003 LA - en ID - AIHPB_2005__41_5_929_0 ER -
%0 Journal Article %A Sato, Ken-Iti %A Watanabe, Toshiro %T Last exit times for transient semistable processes %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 929-951 %V 41 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2004.09.003/ %R 10.1016/j.anihpb.2004.09.003 %G en %F AIHPB_2005__41_5_929_0
Sato, Ken-Iti; Watanabe, Toshiro. Last exit times for transient semistable processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 5, pp. 929-951. doi : 10.1016/j.anihpb.2004.09.003. http://www.numdam.org/articles/10.1016/j.anihpb.2004.09.003/
[1] Lévy Processes, Cambridge University Press, Cambridge, 1996. | MR | Zbl
,[2] Markov Processes and Potential Theory, Academic Press, New York, 1968. | MR | Zbl
, ,[3] Criteria for recurrence and transience of semistable processes, Nagoya Math. J. 134 (1994) 91-106. | MR | Zbl
,[4] Some asymptotic formulas involving capacity, Z. Wahrsch. Verw. Gebiete 4 (1965) 248-252. | MR | Zbl
,[5] Moments of last exit times, Mathematika 24 (1977) 266-269. | MR | Zbl
,[6] Asymptotic behaviour of densities of multi-dimensional stable distributions, Tsukuba J. Math. 18 (1994) 223-246. | MR | Zbl
,[7] The range of random walk, in: Proc. Sixth Berkeley Symp. Math. Statist. Probab., vol. 3, University of California Press, Berkeley and Los Angeles, 1972, pp. 31-50. | MR | Zbl
, ,[8] Sur une conjecture de M. Kac, Probab. Theory Related Fields 78 (1988) 389-402. | MR | Zbl
,[9] Théorie de l'Addition des Variables Aléatoires, Gauthier-Villars, Paris, 1937, 2e éd., 1954. | JFM
,[10] Limit theorems involving capacities, J. Math. Mech. 15 (1966) 805-832. | MR | Zbl
,[11] Limit theorems for transient Markov chains, J. Combin. Theory 2 (1967) 107-128. | MR | Zbl
,[12] Hitting times for transient stable processes, Pacific J. Math. 21 (1967) 161-165. | MR | Zbl
,[13] Stable processes with drift on the line, Trans. Amer. Math. Soc. 313 (1989) 605-841. | MR | Zbl
,[14] Asymptotic expansions for the expected volume of a stable sausage, Ann. Probab. 18 (1990) 492-523. | MR | Zbl
,[15] Spitzer's formula involving capacity, in: , (Eds.), Random Walks, Brownian Motion, and Interacting Particle Systems. A Festschrift in Honor of Frank Spitzer, Birkhäuser, Boston, 1991, pp. 373-388. | MR | Zbl
,[16] Infinitely divisible processes and their potential theory, I and II, Ann. Inst. Fourier (Grenoble) 21 (2) (1971) 157-275. | Numdam | MR | Zbl
, ,[17] Positivity of stable densities, Proc. Amer. Math. Soc. 102 (1988) 1018-1023. | MR | Zbl
, ,[18] Supports of semi-stable probability measures on locally convex spaces, J. Theor. Probab. 7 (1994) 931-942. | MR | Zbl
, , ,[19] Time evolution in distributions of Lévy processes, Southeast Asian Bull. Math. 19 (2) (1995) 17-26. | MR | Zbl
,[20] Criteria of weak and strong transience for Lévy processes, in: , (Eds.), Probability Theory and Mathematical Statistics, Proc. Seventh Japan-Russia Symp., World Scientific, Singapore, 1996, pp. 438-449. | MR | Zbl
,[21] Time evolution of Lévy processes, in: , (Eds.), Trends in Probability and Related Analysis, Proc. SAP '96, World Scientific, Singapore, 1997, pp. 35-82. | MR | Zbl
,[22] Semi-stable processes and their extensions, in: , (Eds.), Trends in Probability and Related Analysis, Proc. SAP '98, World Scientific, Singapore, 1999, pp. 129-145. | MR | Zbl
,[23] Lévy Processes and Infinitely Divisible Distributions, Cambridge University Press, Cambridge, 1999. | MR | Zbl
,[24] Moments of last exit times for Lévy processes, Ann. Inst. H. Poincaré Probab. Statist. 40 (2004) 207-225. | Numdam | MR | Zbl
, ,[25] Supports of convolution semigroups and densities, in: Probability Measures on Groups and Related Structures, XI (Oberwolfach, 1994), World Scientific, River Edge, NJ, 1995, pp. 364-369. | MR | Zbl
,[26] Electrostatic capacity, heat flow, and Brownian motion, Z. Wahrsch. Verw. Gebiete 3 (1964) 110-121. | MR | Zbl
,[27] Moments of the last exit times, Proc. Japan Acad. 43 (1967) 355-360. | MR | Zbl
,[28] Sample path properties of a transient stable process, J. Math. Mech. 16 (1967) 1229-1246. | MR | Zbl
,[29] Le support des lois indéfiniment divisibles dans un groupe Abélien localemnet compact, Math. Z. 197 (1988) 231-250. | MR | Zbl
,[30] Oscillation of modes of some semi-stable Lévy processes, Nagoya Math. J. 132 (1993) 141-153. | MR | Zbl
,[31] Some examples on unimodality of Lévy processes, Kodai Math. J. 17 (1994) 38-47. | MR | Zbl
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